OAI/MeasureTheory/Falconer/Estimates/TubePacketDilation.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

The actual dilation of a coarse line packet and the error from moving its incident points to a common row. Used in the product extraction step of the planar regular-set argument (Orponen--Shmerkin, Appendix A.6).

  1. def OAI.Falconer.packetLineDilate line 12
  2. theorem OAI.Falconer.packetLineDilate_apply line 14
  3. theorem OAI.Falconer.packetLineDilate_dist line 19
  4. theorem OAI.Falconer.packetLineDilate_inverse line 24
  5. theorem OAI.Falconer.packetLineDilate_injective line 28
  6. theorem OAI.Falconer.packetLineDilate_card line 34
  7. theorem OAI.Falconer.packetLineDilate_separated line 38
  8. theorem OAI.Falconer.packetLineDilate_chart line 48
  9. theorem OAI.Falconer.packetLineDilate_regular line 59
  10. theorem OAI.Falconer.packet_common_row_incident line 86
  11. theorem OAI.Falconer.packet_common_row_square_scale line 121